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Soft pre-rough sets and its applications in decision making

1 Department of Mathematics, College of Science and Arts, Najran University, Kingdom of Saudi Arabia
2 Department of Mathematics, Faculty of Science, Tanta University, Egypt

Special Issues: Optimization in decision making process

Soft rough set model represents a different mathematical model to which many real-life data can be connected. In fact, this theory represents a link between soft set and rough set theories. The main goal of the present paper is to introduce a new approach to modify and generalize soft rough sets. We are discussing and exploring the basic properties for these approaches. In addition, we use the suggested approaches as a mathematical modeling for an uncertain data and deal with the ambiguity. Comparisons among the proposed methods and the previous one are obtained. Finally, a medical application of the suggested approximations in decision making of diagnosis of COVID-19 is illustrated. Moreover, we develop an algorithm following these concepts and apply it to a decision making problem to demonstrate the applicability of the proposed methods.
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Keywords soft sets; soft rough sets; soft pre-rough sets; decision making

Citation: M. El Sayed, Abdul Gawad A. Q. Al Qubati, M. K. El-Bably. Soft pre-rough sets and its applications in decision making. Mathematical Biosciences and Engineering, 2020, 17(5): 6045-6063. doi: 10.3934/mbe.2020321

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